Question

The sum of the reciprocal of Mino's ages 3 years ago and 5 years from now is 1/3. Find his present age.
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Answer 1

$\huge\sf\color{pink}{Answer}$

⇝Let the present age of Mino be x.

⇝Three years ago, her age was ( x - 3 ) years.

⇝Five years from now, so her age will be ( x + 5 ) years.

Given :–

★ The sum of the reciprocal of Mino's ages 3 years ago and 5 years from now is 1/3.

Solution :–

↭1 / x - 3 + 1 / x + 5 = 1/3

↭x + 5 + x - 3 / (x - 3)(x + 5) = 1/3

↭2x+ 2 / (x - 3)(x + 5) = 1/3

↭3 (2x + 2) = (x - 3)(x + 5)

↭6x + 6 = x² + 5x - 3x - 15

↭6x + 6 = x² + 2x - 15

↭x² - 4x - 21 = 0

↭x² - 7x + 3x - 21 = 0

↭x (x - 7) + 3 (x - 7) = 0

↭(x - 7)(x + 3) = 0

↭x = 7, -3

━━━━━━━━━━━━━━━━━━━━━━━━

↭ Since, age cannot be negative ( - ).

~ Therefore, Mino's present age is 7 years.

$\sf\color{pink}{Hope \: this \: helps,\: Thank \: you..!!}$

Answer 2

Answer:

Mino's present age is 7 years.lets see how to do it.

Step-by-step explanation:

Answer

⇝Let the present age of Mino be x.

⇝Three years ago, her age was ( x - 3 ) years.

⇝Five years from now, so her age will be ( x + 5 ) years.

Given :–

★ The sum of the reciprocal of Mino's ages 3 years ago and 5 years from now is 1/3.

Solution :–

↭1 / x - 3 + 1 / x + 5 = 1/3

↭x + 5 + x - 3 / (x - 3)(x + 5) = 1/3

↭2x+ 2 / (x - 3)(x + 5) = 1/3

↭3 (2x + 2) = (x - 3)(x + 5)

↭6x + 6 = x² + 5x - 3x - 15

↭6x + 6 = x² + 2x - 15

↭x² - 4x - 21 = 0

↭x² - 7x + 3x - 21 = 0

↭x (x - 7) + 3 (x - 7) = 0

↭(x - 7)(x + 3) = 0

↭x = 7, -3

━━━━━━━━━━━━━━━━━━━━━━━━

↭ Since, age cannot be negative ( - ).

~ Therefore, Mino's present age is 7 years.

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